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Yes, you can take admission in 3 years LLB course without having to appear for entrance exam. There are colleges who offer admission on the merit basis.
LLB is a 3 years long course which has started to be replaced by BA LLB course which is 5 years long. Most colleges these days are preferring to offer BA LLB course to the candidates which can be taken after completing 12th standard. It is mandatory to appear for entrance exam for BA LLB course. The name of entrance exam is CLAT.
There is however no such requirement for LLB course. You can seek direct admission based on the merit. You will have to appear for an interview after which you will be given admission for LLB course.
Although not every college follow this procedure and a large number of them prefer to select candidates through entrance exam. The criteria for entrance exam is:
Eligibility
1. A Bachelor degree in any stream.
2. Minimum of 45 percent marks in Bachelor degree.
3. SC/ST need 40 percent marks.
4. Age limit for LLB is 30 years.
5. SC/ST gets 5 years relaxation in upper age limit.
The criteria for admission based on merit is also same. However you will need to have good percentage to make the cut. Below are some colleges that offer admission through merit.
1. Government Law College (Mumbai)
2. Balaji Law College (Pune)
3. ILS Law College (Pune)

Dear Shaleen, Go for BBA if you belongs to commerce stream. The scope of this particular courses is growing day by day. You will have a great job opportunity in the industrial world. In the management sector in the small span of time you can reach at the top designation. This course will give you an exposure in management field. After completing BBA you can go for MBA. MBA will provide highly challenging job for you. Different specializations are there in MBA. If you are looking for a career in marketing, then MBA in Marketing is a good option, Because now a days mostly companies recruited students for marketing jobs. There are various factors that will go into making an institute the best for you. Academics is clearly a priority, but there are also other aspects such as facilities for research, affordability, placement opportunities and so on. All these have to be balanced to find the best place.